science takes what you do and then proves it is a universal

Here is a great example of all the scientific proof you are all looking for and base everything on
http://www.sciencedaily.com/releases/2011/03/110325102008.htm
scala represents the whole world!!!!!!!!!!
you use PB so the whole world uses PB!

this is real science in action!
--

/^_,',',',_ //^/Kraig Grady_^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere:
North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

a momentary antenna as i turn to water
this evaporates - an island once again

On Tue, Mar 29, 2011 at 9:51 AM, Kraig Grady <kraiggrady@...> wrote:
>
> Here is a great example of all the scientific proof you are all
> looking for and base everything on
> http://www.sciencedaily.com/releases/2011/03/110325102008.htm
> scala represents the whole world!!!!!!!!!!
> you use PB so the whole world uses PB!
>
> this is real science in action!

I am displeased!

-Mike

the lack of credit to the PB concept is the worse part

/^_,',',',_ //^/Kraig Grady_^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere:
North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

a momentary antenna as i turn to water
this evaporates - an island once again

On 30/03/11 12:53 AM, Mike Battaglia wrote:
> On Tue, Mar 29, 2011 at 9:51 AM, Kraig Grady<kraiggrady@...> wrote:
>> Here is a great example of all the scientific proof you are all
>> looking for and base everything on
>> http://www.sciencedaily.com/releases/2011/03/110325102008.htm
>> scala represents the whole world!!!!!!!!!!
>> you use PB so the whole world uses PB!
>>
>> this is real science in action!
> I am displeased!
>
> -Mike
>
>
> ------------------------------------
>
> Meta Tuning meta-info:
>
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On Tue, Mar 29, 2011 at 10:00 AM, Kraig Grady <kraiggrady@...> wrote:
>
> the lack of credit to the PB concept is the worse part

We were talking about it before on tuning-math, and also on Facebook:
in the paper, they actually mention Fokker periodicity blocks, and
apparently cite Paul as well. Not sure if they cite Erv Wilson, but
they use one of his scales an example. I'm not sure that "convexity"
actually means a PB, or if it just means that all of the ratios tend
to cluster around the origin of the lattice. If it's the latter,
that's... pretty obvious.

-Mike

The problem is , we know this is an interest on the tuning list a priori.
Lattices are mutable too in that say you wanted to make a scale that didn't fit into a simple lattice, chances are once your are done, you can just relabel the factors and , wha la it is all a simple lattice again.
the assumption that all scales world wide are harmonically base is misguided.
But we would have to agree what is meant by harmony in the first place.

For me though, i assume that this type of thing happens in science all the time, just that we don't have the first hand knowledge to see it.

/^_,',',',_ //^/Kraig Grady_^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere:
North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

a momentary antenna as i turn to water
this evaporates - an island once again

On 30/03/11 1:23 AM, Mike Battaglia wrote:
> On Tue, Mar 29, 2011 at 10:00 AM, Kraig Grady<kraiggrady@...> wrote:
>> the lack of credit to the PB concept is the worse part
> We were talking about it before on tuning-math, and also on Facebook:
> in the paper, they actually mention Fokker periodicity blocks, and
> apparently cite Paul as well. Not sure if they cite Erv Wilson, but
> they use one of his scales an example. I'm not sure that "convexity"
> actually means a PB, or if it just means that all of the ratios tend
> to cluster around the origin of the lattice. If it's the latter,
> that's... pretty obvious.
>
> -Mike
>
>
> ------------------------------------
>
> Meta Tuning meta-info:
>
> To unsubscribe, send an email to:
> metatuning-unsubscribe@yahoogroups.com
>
> Web page is http://groups.yahoo.com/groups/metatuning/
>
> To post to the list, send to
> metatuning@yahoogroups.com
>
> Yahoo! Groups Links
>
>
>
>
>

--- In metatuning@yahoogroups.com, Kraig Grady <kraiggrady@...> wrote:
>
> the lack of credit to the PB concept is the worse part

Since the authors make so much use of Euler's work, I thought the most egregious omission was failing to remark that a number of the scales in question were Euler genuses (generi?)

--- In metatuning@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> On Tue, Mar 29, 2011 at 10:00 AM, Kraig Grady <kraiggrady@...> wrote:
> >
> > the lack of credit to the PB concept is the worse part
>
> We were talking about it before on tuning-math, and also on Facebook:

And also on nonoctave. It's a game anyone can play!

> in the paper, they actually mention Fokker periodicity blocks, and
> apparently cite Paul as well. Not sure if they cite Erv Wilson, but
> they use one of his scales an example. I'm not sure that "convexity"
> actually means a PB, or if it just means that all of the ratios tend
> to cluster around the origin of the lattice.

PB ==> convex.